Find the average value have of the function h on the given interval.

Question

h(x) = 8 cos4 x sin x, [0, π]?

Answer 1

The function h(x) = 8 cos⁴ x sinx

Average value of the function y = f(x) on {a, b} is defined as

In this case a = 0, b = π

Now the integral becomes

.